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Finding the Fourth Proportional to 337.82, 507.76 and 296.82

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Solution

The fourth proportional to 337.82, 507.76 and 296.82 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.82 : 507.76 = 296.82 : x
  2. Step 2: Convert to fraction form
    337.82/507.76 = 296.82/x
  3. Step 3: Cross multiply
    337.82x = 507.76 × 296.82
  4. Step 4: Simplify right side
    337.82x = 150,712.58
  5. Step 5: Solve for x
    x = 150,712.58/337.82
  6. Step 6: Final answer
    x = 446.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.